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- W3100179795 abstract "We introduce trap models on a finite volume $k$-level tree as a class of Markov jump processes with state space the leaves of that tree. They serve to describe the GREM-like trap model of Sasaki and Nemoto. Under suitable conditions on the parameters of the trap model, we establish its infinite volume limit, given by what we call a $K$-process in an infinite $k$-level tree. From this we deduce that the $K$-process also is the scaling limit of the GREM-like trap model on extreme time scales under a fine tuning assumption on the volumes." @default.
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- W3100179795 date "2014-04-01" @default.
- W3100179795 modified "2023-10-14" @default.
- W3100179795 title "The K-process on a tree as a scaling limit of the GREM-like trap model" @default.
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- W3100179795 doi "https://doi.org/10.1214/13-aap937" @default.
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